Combining Texts

All the ideas for 'The Problem of Empty Names', 'Papers of 1918' and 'Structuralism Reconsidered'

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4 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]
19. Language / D. Propositions / 4. Mental Propositions
Propositions don't name facts, because two opposed propositions can match one fact [Russell]